Information on Result #1010927

Linear OOA(3194, 2796214, F3, 3, 19) (dual of [(2796214, 3), 8388448, 20]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(313, 13, F3, 3, 9) (dual of [(13, 3), 26, 10]-NRT-code), using
  2. linear OOA(3181, 2796201, F3, 3, 19) (dual of [(2796201, 3), 8388422, 20]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(3194, 2796214, F3, 4, 19) (dual of [(2796214, 4), 11184662, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3194, 2796214, F3, 5, 19) (dual of [(2796214, 5), 13980876, 20]-NRT-code) [i]
3Digital (175, 194, 2796214)-net over F3 [i]
4Linear OOA(3194, 932071, F3, 21, 19) (dual of [(932071, 21), 19573297, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row